To me it sounds like "flight heavier than air is impossible!!!!". Why would a device that has 1kW/m2 at its disposal at all times, be fundamentally unable to c

To me it sounds like "flight heavier than air is impossible!!!!". Why would a device that has 1kW/m2 at its disposal at all times, be fundamentally unable to counteract gravitational interactions? We are not talking about planetary gravity wells here but much weaker ones.